基于椭圆曲线离散对数认证的密文传送

针对数据加密传递问题,利用椭圆曲线和离散对数相结合的算法进行解决.首先阐述了椭圆曲线上的算法结构,由于素离散对数问题和大数因子分解问题的解构不成附加结构,求不出解,其安全性比在有限域上更高.其次在Abel群确定系统基点、公私密钥产生、数据加密传递和接收解密4个部分,实现过程中私钥不可伪造,同时对数偶和随机整数的设置使加密具有随机性,数据传递以单向Hash函数为依据,防止欺诈产生.最后在JAVA平台上实现了算法,给出了数据对比结果,表明椭圆曲线离散对数算法安全、简洁、高效,可广泛地应用于数据加密传递.

Cryptograph Sending Based on the ECC Discrete Logarithm

Regarding to the data encryption based on the application of elliptic curve and discrete logarithm,the combined operations for both methods are introduced and performed. Firstly, the structure of elliptic curve algorithms is described in detail, because it is no logarithm to the solution of the discrete logarithm problem and the prime factorization of large numbers deconstruction, so it is much safer than that of running in a limited domain. Then, in the Abel group, the system point setting, public and private key generation, data encryption , the transmission and reception decryption are the major parts of the implementation process of the private key. The private key can not be forged within those four parts, while the settings of dual and random integer makes a random encryption and the data transmission based on a one-way Hash function benefits the prevention of fraud. Finally, the algorithm is implemented on the Java platform. The given data comparison results show that elliptic curve discrete logarithm algorithm is safe, simple and efficient, and it has a certain theoretical and practical value that can be widely used in data encryption transmission.